Question

Two rows of numbers are given. The resultant of each row is to be worked out separately based on the following rules and the question the rows of numbers is to be answered. The operations on numbers in each row progress from left to right.
Rules:
(i) If an odd number is followed by another odd number, then they are to be multiplied.
(ii) If an even number is followed by another even number, then the first number is to be divided by the second number.
(iii) If an even number is followed by the perfect square of an odd number, then the first number is to be subtracted from the second number.
(iv) If an odd number is followed by an even number, then they are to be added.
(v) If an even number is followed by an odd number which is not a perfect square, then the square of the odd number is to be added to the even number.

$16$	$8$	$3$
$21$	$12$	$9$

If $x$ and $y$ be the resultants of first and second rows respectively, then what will be the value of $y÷x$?

• A. $18$
• B. $80$
• C. $27$
• D. $16$

Answer 1

The correct option is C $27$

$\Rightarrow$ $16÷8=2$ [ Rule (ii) ]

$\Rightarrow$ $2+(3{)}^2=11$ [ Rule (v) ]

$\therefore$ $x=11$

$\Rightarrow$ Now, $21+12=33$ [ Rule (iv) ]

$\Rightarrow$ $33\times 9=297$ [ Rule ( i ) ]

$\therefore$ $y=297$

$\therefore$ $y÷x=\frac{297}{11}=27$